Question

(-8a^2+ab-8b^2)-(-9a^2-ab+7b^2)​

Answer 1

$( - {8a}^{2} + ab - {8b}^{2} ) - ( - {9a}^{2} - ab + 7 {b}^{2} ) = - {8a}^{2} + ab - {8b}^{2} + {9a}^{2} + ab - 7 {b}^{2} = {a}^{2} + 2ab - 15 {b}^{2}$

Answer 2

(-8a² + ab - 8b²) - ( -9a² - ab + 7b²) = -8a² + ab - 8b² + 9a² + ab - 7b² = a² + 2ab - 15b²

Answer 3

To simplify the expression (-8a^2+ab-8b^2)-(-9a^2-ab+7b^2), we distribute the negative sign to the terms inside the second parentheses. This gives us:

(-8a^2 + ab - 8b^2) + (9a^2 + ab - 7b^2)

Now, we can combine like terms.

For the terms with 'a^2', we have -8a^2 + 9a^2, which simplifies to a positive a^2.

For the terms with 'ab', we have ab + ab, which simplifies to 2ab.

For the terms with 'b^2', we have -8b^2 - 7b^2, which simplifies to -15b^2.

Putting it all together, the simplified expression is:

a^2 + 2ab - 15b^2